Step 1: Recall Bouguer anomaly concept. The Bouguer anomaly is obtained after correcting gravity data for: - latitude, - free-air effect, - Bouguer slab correction (due to elevation), - terrain correction. Thus, Bouguer anomaly reflects mass distribution beneath the surface.
Step 2: What remains after corrections? Once all standard corrections are applied, the residual variations are due to density differences in subsurface rocks (not surface topography or elevation).
Step 3: Interpret options. - (A) Topographic undulation → already corrected. - (B) Increase in densities with depth → general trend, not anomaly cause. - (C) Lateral density variations → correct, causes gravity highs and lows. - (D) Moho contrast → large-scale regional feature, but not local Bouguer anomaly variation.
Final Answer: \[ \boxed{\text{lateral density variations}} \]
While doing Bayesian inference, consider estimating the posterior distribution of the model parameter (m), given data (d). Assume that Prior and Likelihood are proportional to Gaussian functions given by \[ {Prior} \propto \exp(-0.5(m - 1)^2) \] \[ {Likelihood} \propto \exp(-0.5(m - 3)^2) \] 
The mean of the posterior distribution is (Answer in integer)
Consider a medium of uniform resistivity with a pair of source and sink electrodes separated by a distance \( L \), as shown in the figure. The fraction of the input current \( (I) \) that flows horizontally \( (I_x) \) across the median plane between depths \( z_1 = \frac{L}{2} \) and \( z_2 = \frac{L\sqrt{3}}{2} \), is given by \( \frac{I_x}{I} = \frac{L}{\pi} \int_{z_1}^{z_2} \frac{dz}{(L^2/4 + z^2)} \). The value of \( \frac{I_x}{I} \) is equal to 
Suppose a mountain at location A is in isostatic equilibrium with a column at location B, which is at sea-level, as shown in the figure. The height of the mountain is 4 km and the thickness of the crust at B is 1 km. Given that the densities of crust and mantle are 2700 kg/m\(^3\) and 3300 kg/m\(^3\), respectively, the thickness of the mountain root (r1) is km. (Answer in integer)